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Answer:
The zeros of the given polynomial function f(x) are -3,0,-4
Step-by-step explanation:
Given polynomial is
To find the zeros of the given polynomial:
First equate the polynomial function f(x) to zero
That is
By synthetic division we can solve it
-3_| 3 21 36 0
0 -9 -36 0
_____________________
3 12 0 0
Therefore x+3 is a factor
That is x=-3 is a zero
3x=0 or x+4=0
Therefore x=0 or x=-4
Therefore the zeros are -3,0,-4